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Finding the Fourth Proportional to 3,817.52, 5,268.60 and 2,139.20

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Solution

The fourth proportional to 3,817.52, 5,268.60 and 2,139.20 is: 2,952.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.52 : 5,268.60 = 2,139.20 : x
  2. Step 2: Convert to fraction form
    3,817.52/5,268.60 = 2,139.20/x
  3. Step 3: Cross multiply
    3,817.52x = 5,268.60 × 2,139.20
  4. Step 4: Simplify right side
    3,817.52x = 11,270,589.12
  5. Step 5: Solve for x
    x = 11,270,589.12/3,817.52
  6. Step 6: Final answer
    x = 2,952.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.